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Veronica Madrid began the year with a portfolio valued at $10,000 and made a contribution to and a withdrawal from this portfolio over the next 3 months. Information regarding amounts and dates of these cash flows and the portfolio's market value at various dates is shown below:

Date Contribution (-) or withdrawal (+) Portfolio value

12/31 $0 $10,000
1/31 +956 9,000
2/28 -659 12,000
3/31 0 13,000

a) Calculate the dollar-weighted return for the three-month period (Hint: Unless you have a suitable calculator, you'll have to use trial and error to find the dollar-weighted return. To begin, the monthly dollar-weighted return is less than 10%)
b) Calculate the time-weighted return for the three-month period.
c) Why is the time-weighted return for the quarter less than the dollar-weighted return in this particular problem?

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The expert examines the returns investment portfolios value.

Solution provided by:
Ashish Sharma, MBA (IP)
Education
  • MBA (IP), International Center for Internationa Business
  • BBA, University of Rajasthan
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